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Finding the Fourth Proportional to 14,053.38, 19,393.74 and 7,765.76

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Solution

The fourth proportional to 14,053.38, 19,393.74 and 7,765.76 is: 10,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,053.38 : 19,393.74 = 7,765.76 : x
  2. Step 2: Convert to fraction form
    14,053.38/19,393.74 = 7,765.76/x
  3. Step 3: Cross multiply
    14,053.38x = 19,393.74 × 7,765.76
  4. Step 4: Simplify right side
    14,053.38x = 150,607,130.34
  5. Step 5: Solve for x
    x = 150,607,130.34/14,053.38
  6. Step 6: Final answer
    x = 10,716.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.